This verse describes a pivotal moment in the story of Jesus raising a dead girl back to life. Let's break it down:

"But when the crowd was put out...": This is important. Jesus deliberately removed the crowd before performing the miracle. The crowd, in this context, likely represents:
Skeptics and doubters: People who might have been there out of morbid curiosity or to witness the spectacle, but who lacked faith and might have hindered the process with their doubt.
Those overwhelmed with grief: While sympathy is understandable, intense grief can create a negative atmosphere that interferes with the power of faith.
People who are uninvited: Jesus's privacy and respect for the family.

By clearing the room, Jesus created an atmosphere of faith, reverence, and intimacy, which was conducive to the miraculous.

"...he entered in...": Jesus went into the room where the girl was lying. This suggests an act of compassion and a direct personal involvement.

"...took her by the hand...": This is a significant act of physical contact.
Connection: Taking her hand establishes a direct connection between Jesus (the source of life) and the lifeless girl.
Authority: It symbolizes Jesus's authority over death and his power to restore life.
Gentleness and care: It shows Jesus's tenderness and compassion. He's not just wielding power, but also showing care for the girl.

"...and the girl arose.": This is the climactic moment. The girl immediately came back to life. The action is direct and decisive, demonstrating Jesus's divine power. The rising symbolizes resurrection and a return to life and activity.

In summary, the verse depicts Jesus excluding the non-believers and those who may have hindered the event, entering the room, and taking the girl by the hand, leading to her miraculous revival. It highlights Jesus's power over death, his compassion, and the importance of faith in witnessing and experiencing divine intervention.